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Finding the Third Proportional to 5,477,440 and 11,820,920

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Solution

The third proportional to 5,477,440 and 11,820,920 is: 25,510,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477,440 : 11,820,920 = 11,820,920 : x
  2. Step 2: Convert to fraction form
    5,477,440/11,820,920 = 11,820,920/x
  3. Step 3: Cross multiply
    5,477,440x = 11,820,920 × 11,820,920
  4. Step 4: Simplify right side
    5,477,440x = 139,734,149,646,400
  5. Step 5: Solve for x
    x = 139,734,149,646,400/5,477,440
  6. Step 6: Final answer
    x = 25,510,849.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.